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99 lines
2.5 KiB
C

#include <stdio.h>
#include <stdio.h>
#include <stdlib.h>
int main(int argc, char **argv)
{
int i, j, k;
printf("Enter the dimension of the matrices: ");
int n;
scanf("%d", &n);
printf("Enter the 1st matrix: ");
double a[n][n];
for (i = 0; i < n; i++)
{
for (j = 0; j < n; j++)
{
scanf("%f", &a[i][j]);
}
}
printf("Enter the 2nd matrix: ");
double b[n][n];
for (i = 0; i < n; i++)
{
for (j = 0; j < n; j++)
{
scanf("%f", &b[i][j]);
}
}
printf("Enter the result matrix: ");
double c[n][n];
for (i = 0; i < n; i++)
{
for (j = 0; j < n; j++)
{
scanf("%f", &c[i][j]);
}
}
//random generation of the r vector containing only 0/1 as its elements
double r[n][1];
for (i = 0; i < n; i++)
{
r[i][0] = rand() % 2;
printf("%f ", r[i][0]);
}
//test A * (b*r) - (C*) = 0
double br[n][1];
for (i = 0; i < n; i++)
{
for (j = 0; j < 1; j++)
{
for (k = 0; k < n; k++)
{
br[i][j] = br[i][j] + b[i][k] * r[k][j];
}
}
}
double cr[n][1];
for (i = 0; i < n; i++)
{
for (j = 0; j < 1; j++)
{
for (k = 0; k < n; k++)
{
cr[i][j] = cr[i][j] + c[i][k] * r[k][j];
}
}
}
double abr[n][1];
for (i = 0; i < n; i++)
{
for (j = 0; j < 1; j++)
{
for (k = 0; k < n; k++)
{
abr[i][j] = abr[i][j] + a[i][k] * br[k][j];
}
}
}
// br = multiplyVector(b, r, n);
// cr = multiplyVector(c, r, n);
// abr = multiplyVector(a, br, n);
//abr-cr
for (i = 0; i < n; i++)
{
abr[i][0] -= cr[i][0];
}
int flag = 1;
for (i = 0; i < n; i++)
{
if (abr[i][0] == 0)
continue;
else
flag = 0;
}
if (flag == 1)
printf("Yes");
else
printf("No");
return 0;
}